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Finding the Fourth Proportional to 138,471.70, 191,091.12 and 74,809.50

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Solution

The fourth proportional to 138,471.70, 191,091.12 and 74,809.50 is: 103,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471.70 : 191,091.12 = 74,809.50 : x
  2. Step 2: Convert to fraction form
    138,471.70/191,091.12 = 74,809.50/x
  3. Step 3: Cross multiply
    138,471.70x = 191,091.12 × 74,809.50
  4. Step 4: Simplify right side
    138,471.70x = 14,295,431,141.64
  5. Step 5: Solve for x
    x = 14,295,431,141.64/138,471.70
  6. Step 6: Final answer
    x = 103,237.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.